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Finding the Fourth Proportional to 217,243.86, 299,814.27 and 120,478.02

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Solution

The fourth proportional to 217,243.86, 299,814.27 and 120,478.02 is: 166,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,243.86 : 299,814.27 = 120,478.02 : x
  2. Step 2: Convert to fraction form
    217,243.86/299,814.27 = 120,478.02/x
  3. Step 3: Cross multiply
    217,243.86x = 299,814.27 × 120,478.02
  4. Step 4: Simplify right side
    217,243.86x = 36,121,028,118.27
  5. Step 5: Solve for x
    x = 36,121,028,118.27/217,243.86
  6. Step 6: Final answer
    x = 166,269.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.